259875000 has 448 divisors, whose sum is σ = 1124985600. Its totient is φ = 54000000.

The previous prime is 259874987. The next prime is 259875001. The reversal of 259875000 is 578952.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259875001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23624995 + ... + 23625005.

Almost surely, 2^259875000 is an apocalyptic number.

259875000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562492800).

259875000 is an abundant number, since it is smaller than the sum of its proper divisors (865110600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

259875000 is an equidigital number, since it uses as much as digits as its factorization.

259875000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 259875000 is about 16120.6389451535. The cubic root of 259875000 is about 638.1481297673.

The spelling of 259875000 in words is "two hundred fifty-nine million, eight hundred seventy-five thousand".